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Finding the Third Proportional to 80,274.01 and 176,437.93

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Solution

The third proportional to 80,274.01 and 176,437.93 is: 387,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274.01 : 176,437.93 = 176,437.93 : x
  2. Step 2: Convert to fraction form
    80,274.01/176,437.93 = 176,437.93/x
  3. Step 3: Cross multiply
    80,274.01x = 176,437.93 × 176,437.93
  4. Step 4: Simplify right side
    80,274.01x = 31,130,344,410.83
  5. Step 5: Solve for x
    x = 31,130,344,410.83/80,274.01
  6. Step 6: Final answer
    x = 387,801.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.